where \(G_v\)  is the point stabilizer of \(v\in V\) ,
and the intersection density \(\rho (G)\)  (see [1]})
of a group \(G\) ,
is the maximum value of
\(\rho ({\cal F})\)  where \({\cal F}\)  runs over all intersecting sets in
\(G\) , that is,
\(\rho (G)=\max \lbrace \rho ({\cal F})\colon {\cal F}\subseteq G, {\cal F} \textrm { is intersecting}\rbrace  = \frac{\max \lbrace |{\cal F}| \colon {\cal F}\subseteq G\textrm { is intersecting}\rbrace }{\max _{v\in V}|G_v|}.\) 
